Question

The cost of painting the surface of sphere is Rs.1526 at the rate of Rs.6 per m². Find the radius of sphere.

Answer 1

Given : Cost of painting the surface of sphere is ₹ 1526

Rate of painting = ₹ 6 per m²

Surface area of sphere = cost of painting the surface of sphere /Rate of painting

Surface area of sphere = 1526/6 = 763/3 m²

Surface area of sphere = 4πr²

763/3 = 4 × 3.14 × r²

r² = 763/(3×3.14×4)

r² = 20.25

r = √20.25

r = 4.5 m

Hence, the radius of the sphere is 4.5 m

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